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Mathematics 18 Online
OpenStudy (jessicawade):

logarithm problem help?

OpenStudy (jessicawade):

The amount of money in an account with continuously compounded interest is given by the formula A = Pert, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest tenth of a year how long it takes for an amount of money to double if interest is compounded continuously at 7.5%.

OpenStudy (jessicawade):

0.6 years 9.2 years 0.9 years 8.2 years

OpenStudy (anonymous):

what is the principal amount?

OpenStudy (studygurl14):

You don't need the principal amount @mastermindkakashi . There's a formula.

OpenStudy (anonymous):

ah I see

OpenStudy (studygurl14):

The formula is \(\Large t=\frac{\ln 2}{k}\)

OpenStudy (studygurl14):

where t is the time required for a quantity to double. k= r = the rate

OpenStudy (studygurl14):

@jessicawade

OpenStudy (jessicawade):

i found it it was 9.2

OpenStudy (jessicawade):

thanks yo!

OpenStudy (studygurl14):

Yep. anytime. :)

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